| A New(γ_A,σ_B)-Matrix KP Hierarchy and Its Solutions |
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| 引用本文： | 黄晔辉,姚玉芹,曾云波. A New(γ_A,σ_B)-Matrix KP Hierarchy and Its Solutions[J]. 理论物理通讯, 2012, 57(4): 515-522 |
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| 作者姓名： | 黄晔辉 姚玉芹 曾云波 |
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| 基金项目： | Supported by the National Science Foundation of China under Grant Nos. 10801083,10901090,11171175;China Postdoctoral Science Funded Project (20110490408);Chinese Universities Scientific Fund under Grant No. 2011JS041 |
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| 摘 要： | A new(γA,σB)-matrix KP hierarchy with two time series γA and σB,which consists of γA-flow,σB-flow and mixed γA and σB-evolution equations of eigenfunctions,is proposed.The reduction and constrained flows of(γA,σB)matrix KP hierarchy are studied.The dressing method is generalized to the(γA,σB)-matrix KP hierarchy and some solutions are presented.
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| 关 键 词： | (γA σB)-matrix KP hierarchy Lax representation generalized dressing method soliton |
| 收稿时间： | 2011-10-08 |
A New (γA,σB)-Matrix KP Hierarchy and Its Solutions |
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| HUANG Ye-Hui,YAO Yu-Qin,ZENG Yun-Bo. A New (γA,σB)-Matrix KP Hierarchy and Its Solutions[J]. Communications in Theoretical Physics, 2012, 57(4): 515-522 |
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| Authors: | HUANG Ye-Hui YAO Yu-Qin ZENG Yun-Bo |
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| Affiliation: | 1. Department of Mathematical Science, Tsinghua University, Beijing 100084, China;2. Department of Applied Mathematics, China Agricultural University, Beijing 100083, China |
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| Abstract: | A new (γA,σB)-matrix KP hierarchy with two time series γA and σB, which consists of γA-flow, σB-flow and mixed γA and σB-evolution equations of eigenfunctions, is proposed. The reduction and constrained flows of (γA,σB)-matrix KP hierarchy are studied. The dressing method is generalized to the (γA,σB)-matrix KP hierarchy and some solutions are presented. |
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| Keywords: | (γA σB)-matrix KP hierarchy Lax representation generalized dressing method soliton |
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